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GCD of 504, 718, 292, 908 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 504, 718, 292, 908 quickly. Get the easiest ways to solve the greatest common divisor of 504, 718, 292, 908 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 504, 718, 292, 908 with Factoring?

Given Input numbers are 504, 718, 292, 908

In the factoring method, we have to find the divisors of all numbers

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908


GCD of numbers is the greatest common divisor

So, the GCD (504, 718, 292, 908) = 2.

Find GCD of 504, 718, 292, 908 using Prime Factorization

Given numbers are 504, 718, 292, 908

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 718 are 2 x 359

Prime factors of 292 are 2 x 2 x 73

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 21

Therefore, GCD of 504, 718, 292, 908 is 2.

Steps to Calculate GCD of 504, 718, 292, 908 using LCM Formula

Given numbers are 504, 718, 292, 908

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(504, 718) = 180936

GCD(504, 718) = ( 504 x 718 ) / 180936

= 504 / 718

= 504


Step2:

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

= 2 / 292

= 2


Step3:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2


So, Greatest Common Divisor of 504, 718, 292, 908 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 718, 292, 908

Given numbers are 504, 718, 292, 908
The greatest common divisor of numbers 504, 718, 292, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 718, 292, 908 is 2.

FAQs on GCD of 504, 718, 292, 908 Calculator

1. What is the GCD of 504, 718, 292, 908?

GCD of given numbers 504, 718, 292, 908 is 2


2. How to calculate the greatest common divisor of 504, 718, 292, 908?

We can find the highest common divisor of 504, 718, 292, 908 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 504, 718, 292, 908 i.e 2.


3. How can I use the GCD of 504, 718, 292, 908Calculator?

Out the numbers 504, 718, 292, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.